Question

Austin and Dylan rode their bicycles. Austin's average speed is represented by the equation d = 20t, where d is the total distance traveled in t hours. The graph below represents Dylan's average speed while riding his bicycle.

Who had the fastest average speed and by how much?

Answer 1

Austin has the better average speed by 5 mph

Explanation:

The slope of Dylan’s graph will his average speed

Let’s select two points on the graph to use

The slope can be calculated as;

m = (y2-y1)/(x2-x1)

m = (90-30)/(6-2)

m = 60/4

m = 15

So the equation for Dylan would be

d = 15t

This shows that Austin has a faster average speed by 5 mph